Since we've started talking about simplified weapons as well, people might be interested in how I approached weapons in Microlite5E (under
"Weapon damage by class" and later "Attacks").
Classes had fixed damage for light, one-handed melee, two-handed melee and ranged weapons. Light weapons can be used in melee or thrown, and can use DEX or STR either way. Dual wielding light weapons does the same damage as wielding a two-handed melee weapon, but can use DEX or STR.
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Although these days I think I would tackle it differently:
Every class has a weapon die. This is the damage that they do with a medium weapon (melee or ranged). There are also light weapons like hatchets and daggers that are melee and thrown (die size reduces by 1) and heavy weapons like greataxes and greatswords/dual wielding of light weapons (die size increases by 1).
Light: Melee or thrown (6 squares); finesse
Medium melee: Melee
Medium ranged: Shoot (60 squares)
Heavy melee OR Dual wielding: Melee; reach (two-handed weapon) OR finesse (dual wielding)
This strikes me as elegant and simple. The weapon dice would be, by class:
d10 (d8 light, d12 heavy/dual): Fighter
d8 (d6 light, d10 heavy/dual): Barbarian, monk, paladin, ranger, rogue
d6 (d4 light, d8 heavy/dual): Bard, cleric, druid, sorcerer, warlock, druid
Proficiency feats would instead bump up die size by one step.